- #1
Darkmisc
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I have a homework problem where I am to find y_2 for a 2nd ODE, with y_1=x.
I'm familiar with the process of:
let y_2 = ux
y_2- = u'x u
y_2'' = 2u' + u''x
substituting these terms into the 2ODE, then letting u' = v.
When integrating v and u' to solve for u, do I need to include integration constants at both steps?
I have a textbook that suggests that integration constants can be made redundant by choosing the 1 and 0 as their values.
However, I have lecture notes which seem to include integration constants in the final solution.
What's the correct approach?
Thanks
I'm familiar with the process of:
let y_2 = ux
y_2- = u'x u
y_2'' = 2u' + u''x
substituting these terms into the 2ODE, then letting u' = v.
When integrating v and u' to solve for u, do I need to include integration constants at both steps?
I have a textbook that suggests that integration constants can be made redundant by choosing the 1 and 0 as their values.
However, I have lecture notes which seem to include integration constants in the final solution.
What's the correct approach?
Thanks